39.8 is what percent of 23.6 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 23.6 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 23.6, so we can write it down as 100%=23.6.
4. We know, that x% equals 39.8 of the output value, so we can write it down as x%=39.8.
5. Now we have two simple equations:
1) 100%=23.6
2) x%=39.8
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=23.6/39.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.8 is what percent of 23.6

100%/x%=23.6/39.8
(100/x)*x=(23.6/39.8)*x       - we multiply both sides of the equation by x
100=0.5929648241206*x       - we divide both sides of the equation by (0.5929648241206) to get x
100/0.5929648241206=x
168.64406779661=x
x=168.64406779661

now we have:
39.8 is 168.64406779661% of 23.6